
(/VERSIONCHECK 2) 

(DEFUN |DFINTTLS;variation| (|p| |a| $)
  (|DFINTTLS;var|
   (SPADCALL |p|
             (SPADCALL (SPADCALL (|spadConstant| $ 9) 1 (QREFELT $ 12))
                       (SPADCALL |a| (QREFELT $ 13)) (QREFELT $ 14))
             (QREFELT $ 15))
   $)) 

(DEFUN |DFINTTLS;keeprec?| (|a| |rec| $)
  (COND ((SPADCALL |a| (QCDR |rec|) (QREFELT $ 18)) 'T)
        ('T (SPADCALL |a| (QCAR |rec|) (QREFELT $ 19))))) 

(DEFUN |DFINTTLS;checkHalfAx| (|p| |a| |d| |incl?| $)
  (|DFINTTLS;posRoot|
   (SPADCALL |p|
             (SPADCALL |d|
                       (SPADCALL
                        (SPADCALL (|spadConstant| $ 9) 1 (QREFELT $ 12))
                        (SPADCALL |a| (QREFELT $ 13)) (QREFELT $ 14))
                       (QREFELT $ 21))
             (QREFELT $ 15))
   |incl?| $)) 

(DEFUN |DFINTTLS;ignore?;SB;4| (|str| $)
  (COND ((EQUAL |str| "noPole") 'T)
        ('T (|error| "integrate: last argument must be 'noPole'")))) 

(DEFUN |DFINTTLS;computeInt;KF2OcBU;5| (|k| |f| |a| |b| |eval?| $)
  (PROG (#1=#:G1845 |ia| |ib|)
    (RETURN
     (SEQ
      (COND ((SPADCALL |f| '|integral| (QREFELT $ 25)) (CONS 1 "failed"))
            (#2='T
             (SEQ
              (EXIT
               (SEQ
                (COND
                 ((NULL |eval?|)
                  (LETT |f| (|DFINTTLS;mkLogPos| |f| $)
                        . #3=(|DFINTTLS;computeInt;KF2OcBU;5|))))
                (SEQ
                 (LETT |ib| (|DFINTTLS;findLimit| |f| |k| |b| "left" |eval?| $)
                       . #3#)
                 (EXIT
                  (COND
                   ((QEQCAR |ib| 1)
                    (PROGN (LETT #1# (CONS 1 #4="failed") . #3#) (GO #1#)))
                   (#2#
                    (SEQ
                     (LETT |ia|
                           (|DFINTTLS;findLimit| |f| |k| |a| "right" |eval?| $)
                           . #3#)
                     (EXIT
                      (COND
                       ((QEQCAR |ia| 1)
                        (PROGN (LETT #1# (CONS 1 #4#) . #3#) (GO #1#))))))))))
                (COND
                 ((SPADCALL (QCDR |ia|) (QREFELT $ 27))
                  (COND
                   ((SPADCALL (QCDR |ia|) (QCDR |ib|) (QREFELT $ 28))
                    (EXIT (CONS 1 "failed"))))))
                (EXIT
                 (CONS 0 (SPADCALL (QCDR |ib|) (QCDR |ia|) (QREFELT $ 29))))))
              #1# (EXIT #1#)))))))) 

(DEFUN |DFINTTLS;findLimit| (|f| |k| |a| |dir| |eval?| $)
  (PROG (|u| |r|)
    (RETURN
     (SEQ (LETT |r| (SPADCALL |a| (QREFELT $ 34)) . #1=(|DFINTTLS;findLimit|))
          (EXIT
           (COND
            ((QEQCAR |r| 0)
             (COND
              (|eval?|
               (CONS 0
                     (SPADCALL
                      (|DFINTTLS;mkLogPos|
                       (SPADCALL |f| |k| (QCDR |r|) (QREFELT $ 36)) $)
                      (QREFELT $ 37))))
              (#2='T
               (SEQ
                (LETT |u|
                      (SPADCALL |f|
                                (SPADCALL (SPADCALL |k| (QREFELT $ 38))
                                          (QCDR |r|) (QREFELT $ 40))
                                |dir| (QREFELT $ 42))
                      . #1#)
                (EXIT
                 (COND ((QEQCAR |u| 0) (CONS 0 (QCDR |u|)))
                       (#2# (CONS 1 "failed"))))))))
            (#2#
             (SEQ
              (LETT |u|
                    (SPADCALL |f|
                              (SPADCALL
                               (SPADCALL (SPADCALL |k| (QREFELT $ 38))
                                         (QREFELT $ 37))
                               |a| (QREFELT $ 44))
                              (QREFELT $ 47))
                    . #1#)
              (EXIT
               (COND ((QEQCAR |u| 0) (CONS 0 (QCDR |u|)))
                     (#2# (CONS 1 "failed")))))))))))) 

(DEFUN |DFINTTLS;mkLogPos| (|f| $)
  (PROG (|lv| |lk| |v| #1=#:G1882 |k|)
    (RETURN
     (SEQ (LETT |lk| NIL . #2=(|DFINTTLS;mkLogPos|)) (LETT |lv| NIL . #2#)
          (SEQ (LETT |k| NIL . #2#)
               (LETT #1# (SPADCALL |f| (QREFELT $ 49)) . #2#) G190
               (COND
                ((OR (ATOM #1#) (PROGN (LETT |k| (CAR #1#) . #2#) NIL))
                 (GO G191)))
               (SEQ
                (EXIT
                 (COND
                  ((SPADCALL |k| '|log| (QREFELT $ 50))
                   (SEQ (LETT |v| (|DFINTTLS;mkKerPos| |k| $) . #2#)
                        (EXIT
                         (COND
                          ((QEQCAR |v| 0)
                           (SEQ (LETT |lk| (CONS |k| |lk|) . #2#)
                                (EXIT
                                 (LETT |lv| (CONS (QCDR |v|) |lv|)
                                       . #2#)))))))))))
               (LETT #1# (CDR #1#) . #2#) (GO G190) G191 (EXIT NIL))
          (EXIT (SPADCALL |f| |lk| |lv| (QREFELT $ 52))))))) 

(DEFUN |DFINTTLS;mkKerPos| (|k| $)
  (PROG (|u| |f|)
    (RETURN
     (SEQ
      (LETT |u|
            (|DFINTTLS;negative|
             (LETT |f| (|SPADfirst| (SPADCALL |k| (QREFELT $ 54)))
                   . #1=(|DFINTTLS;mkKerPos|))
             $)
            . #1#)
      (EXIT
       (COND
        ((QEQCAR |u| 1)
         (CONS 0
               (SPADCALL
                (SPADCALL (SPADCALL |f| 2 (QREFELT $ 56)) (QREFELT $ 57))
                (SPADCALL 2 (QREFELT $ 58)) (QREFELT $ 59))))
        ((QCDR |u|)
         (CONS 0 (SPADCALL (SPADCALL |f| (QREFELT $ 60)) (QREFELT $ 57))))
        ('T (CONS 1 "positive")))))))) 

(DEFUN |DFINTTLS;negative| (|f| $)
  (PROG (|u|)
    (RETURN
     (SEQ (LETT |u| (SPADCALL |f| (QREFELT $ 63)) |DFINTTLS;negative|)
          (EXIT
           (COND ((QEQCAR |u| 1) (CONS 1 "failed"))
                 ('T (CONS 0 (< (QCDR |u|) 0))))))))) 

(DEFUN |DFINTTLS;checkForZero;PS2OcBU;10| (|p| |x| |a| |b| |incl?| $)
  (SPADCALL
   (SPADCALL (ELT $ 67) (SPADCALL |p| |x| (QREFELT $ 69)) (QREFELT $ 73)) |a|
   |b| |incl?| (QREFELT $ 75))) 

(DEFUN |DFINTTLS;checkForZero;Sup2OcBU;11| (|q| |a| |b| |incl?| $)
  (PROG (|u| #1=#:G1921 |i| |d|)
    (RETURN
     (SEQ
      (COND ((SPADCALL |q| (QREFELT $ 77)) (CONS 0 'NIL))
            (#2='T
             (SEQ
              (EXIT
               (SEQ
                (SEQ
                 (LETT |d| (|DFINTTLS;maprat| |q| $)
                       . #3=(|DFINTTLS;checkForZero;Sup2OcBU;11|))
                 (EXIT
                  (COND
                   ((QEQCAR |d| 0)
                    (SEQ (LETT |i| (|DFINTTLS;intrat| |a| |b| $) . #3#)
                         (EXIT
                          (COND
                           ((NULL (QEQCAR |i| 3))
                            (PROGN
                             (LETT #1#
                                   (COND
                                    ((NULL
                                      (|DFINTTLS;findRealZero| (QCDR |d|) |i|
                                       |incl?| $))
                                     (CONS 0 'NIL))
                                    (#2# (CONS 0 'T)))
                                   . #3#)
                             (GO #1#))))))))))
                (LETT |u| (|DFINTTLS;checkBudan| |q| |a| |b| |incl?| $) . #3#)
                (EXIT
                 (COND
                  ((QEQCAR |u| 1)
                   (COND (|incl?| (|DFINTTLS;checkDeriv| |q| |a| |b| $))
                         (#2# (CONS 1 "failed"))))
                  (#2# (CONS 0 (QCDR |u|)))))))
              #1# (EXIT #1#)))))))) 

(DEFUN |DFINTTLS;maprat| (|p| $)
  (PROG (|ans| #1=#:G1936 |r| |c|)
    (RETURN
     (SEQ
      (EXIT
       (SEQ (LETT |ans| (|spadConstant| $ 79) . #2=(|DFINTTLS;maprat|))
            (SEQ G190
                 (COND
                  ((NULL (SPADCALL |p| (|spadConstant| $ 80) (QREFELT $ 81)))
                   (GO G191)))
                 (SEQ
                  (LETT |r|
                        (SPADCALL
                         (LETT |c| (SPADCALL |p| (QREFELT $ 82)) . #2#)
                         (QREFELT $ 84))
                        . #2#)
                  (EXIT
                   (COND
                    ((QEQCAR |r| 1)
                     (PROGN (LETT #1# (CONS 1 "failed") . #2#) (GO #1#)))
                    ('T
                     (SEQ
                      (LETT |ans|
                            (SPADCALL |ans|
                                      (SPADCALL (QCDR |r|)
                                                (SPADCALL |p| (QREFELT $ 85))
                                                (QREFELT $ 86))
                                      (QREFELT $ 87))
                            . #2#)
                      (EXIT
                       (LETT |p| (SPADCALL |p| (QREFELT $ 88)) . #2#)))))))
                 NIL (GO G190) G191 (EXIT NIL))
            (EXIT
             (CONS 0
                   (SPADCALL (ELT $ 89) (QCAR (SPADCALL |ans| (QREFELT $ 92)))
                             (QREFELT $ 96))))))
      #1# (EXIT #1#))))) 

(DEFUN |DFINTTLS;intrat| (|a| |b| $)
  (PROG (|t| |n| |q| |r|)
    (RETURN
     (SEQ
      (COND
       ((SPADCALL
         (LETT |n| (SPADCALL |a| (QREFELT $ 98)) . #1=(|DFINTTLS;intrat|)) 0
         (QREFELT $ 99))
        (SEQ (LETT |r| (SPADCALL |b| (QREFELT $ 34)) . #1#)
             (EXIT
              (COND ((QEQCAR |r| 1) (CONS 2 "all"))
                    (#2='T
                     (SEQ (LETT |q| (SPADCALL (QCDR |r|) (QREFELT $ 84)) . #1#)
                          (EXIT
                           (COND ((QEQCAR |q| 1) (CONS 3 #3="failed"))
                                 (#2# (CONS 1 (CONS (QCDR |q|) |n|)))))))))))
       (#2#
        (SEQ
         (LETT |q| (SPADCALL (SPADCALL |a| (QREFELT $ 100)) (QREFELT $ 84))
               . #1#)
         (EXIT
          (COND ((QEQCAR |q| 1) (CONS 3 #3#))
                ((SPADCALL (LETT |n| (SPADCALL |b| (QREFELT $ 98)) . #1#) 0
                           (QREFELT $ 99))
                 (CONS 1 (CONS (QCDR |q|) |n|)))
                (#2#
                 (SEQ
                  (LETT |t|
                        (SPADCALL (SPADCALL |b| (QREFELT $ 100))
                                  (QREFELT $ 84))
                        . #1#)
                  (EXIT
                   (COND ((QEQCAR |t| 1) (CONS 3 #3#))
                         (#2#
                          (CONS 0 (CONS (QCDR |q|) (QCDR |t|))))))))))))))))) 

(DEFUN |DFINTTLS;findRealZero| (|p| |i| |incl?| $)
  (PROG (|ep| #1=#:G1959 |l| #2=#:G1973 |u| #3=#:G1985 |t| #4=#:G1984 |bounds|
         #5=#:G1969 #6=#:G1968 #7=#:G1970 #8=#:G1983 #9=#:G1966 #10=#:G1965
         #11=#:G1967 #12=#:G1982 |r|)
    (RETURN
     (SEQ
      (LETT |p| (SPADCALL |p| (QREFELT $ 101)) . #13=(|DFINTTLS;findRealZero|))
      (EXIT
       (COND
        ((QEQCAR |i| 0)
         (SEQ
          (LETT |l| (SPADCALL |p| (LETT |r| (CDR |i|) . #13#) (QREFELT $ 105))
                . #13#)
          (EXIT
           (COND (|incl?| |l|)
                 (#14='T
                  (SPADCALL (CONS #'|DFINTTLS;findRealZero!0| (VECTOR $ |r|))
                            |l| (QREFELT $ 108)))))))
        ((QEQCAR |i| 2) (SPADCALL |p| (QREFELT $ 109)))
        ((QEQCAR |i| 1)
         (COND ((NULL (LETT |l| (SPADCALL |p| (QREFELT $ 109)) . #13#)) NIL)
               (#14#
                (SEQ
                 (LETT |bounds|
                       (COND
                        ((SPADCALL
                          (QCDR
                           (PROG2
                               (LETT #1# |i| . #13#)
                               (QCDR #1#)
                             (|check-union| (QEQCAR #1# 1)
                                            (|Record|
                                             (|:| |endpoint|
                                                  (|Fraction| (|Integer|)))
                                             (|:| |dir| (|Integer|)))
                                            #1#)))
                          0 (QREFELT $ 110))
                         (CONS
                          (QCAR
                           (PROG2
                               (LETT #1# |i| . #13#)
                               (QCDR #1#)
                             (|check-union| (QEQCAR #1# 1)
                                            (|Record|
                                             (|:| |endpoint|
                                                  (|Fraction| (|Integer|)))
                                             (|:| |dir| (|Integer|)))
                                            #1#)))
                          (PROGN
                           (LETT #9# NIL . #13#)
                           (SEQ (LETT |t| NIL . #13#) (LETT #12# |l| . #13#)
                                G190
                                (COND
                                 ((OR (ATOM #12#)
                                      (PROGN (LETT |t| (CAR #12#) . #13#) NIL))
                                  (GO G191)))
                                (SEQ
                                 (EXIT
                                  (PROGN
                                   (LETT #11# (QCDR |t|) . #13#)
                                   (COND
                                    (#9#
                                     (LETT #10#
                                           (SPADCALL #10# #11# (QREFELT $ 111))
                                           . #13#))
                                    ('T
                                     (PROGN
                                      (LETT #10# #11# . #13#)
                                      (LETT #9# 'T . #13#)))))))
                                (LETT #12# (CDR #12#) . #13#) (GO G190) G191
                                (EXIT NIL))
                           (COND (#9# #10#) (#14# (|IdentityError| '|max|))))))
                        (#14#
                         (CONS
                          (PROGN
                           (LETT #5# NIL . #13#)
                           (SEQ (LETT |t| NIL . #13#) (LETT #8# |l| . #13#)
                                G190
                                (COND
                                 ((OR (ATOM #8#)
                                      (PROGN (LETT |t| (CAR #8#) . #13#) NIL))
                                  (GO G191)))
                                (SEQ
                                 (EXIT
                                  (PROGN
                                   (LETT #7# (QCAR |t|) . #13#)
                                   (COND
                                    (#5#
                                     (LETT #6#
                                           (SPADCALL #6# #7# (QREFELT $ 112))
                                           . #13#))
                                    ('T
                                     (PROGN
                                      (LETT #6# #7# . #13#)
                                      (LETT #5# 'T . #13#)))))))
                                (LETT #8# (CDR #8#) . #13#) (GO G190) G191
                                (EXIT NIL))
                           (COND (#5# #6#) (#14# (|IdentityError| '|min|))))
                          (QCAR
                           (PROG2
                               (LETT #1# |i| . #13#)
                               (QCDR #1#)
                             (|check-union| (QEQCAR #1# 1)
                                            (|Record|
                                             (|:| |endpoint|
                                                  (|Fraction| (|Integer|)))
                                             (|:| |dir| (|Integer|)))
                                            #1#))))))
                       . #13#)
                 (LETT |l|
                       (PROGN
                        (LETT #4# NIL . #13#)
                        (SEQ (LETT |t| NIL . #13#) (LETT #3# |l| . #13#) G190
                             (COND
                              ((OR (ATOM #3#)
                                   (PROGN (LETT |t| (CAR #3#) . #13#) NIL))
                               (GO G191)))
                             (SEQ
                              (EXIT
                               (COND
                                ((QEQCAR
                                  (LETT |u|
                                        (SPADCALL |p| |t| |bounds|
                                                  (QREFELT $ 114))
                                        . #13#)
                                  0)
                                 (LETT #4#
                                       (CONS
                                        (PROG2
                                            (LETT #2# |u| . #13#)
                                            (QCDR #2#)
                                          (|check-union| (QEQCAR #2# 0)
                                                         (|Record|
                                                          (|:| |left|
                                                               (|Fraction|
                                                                (|Integer|)))
                                                          (|:| |right|
                                                               (|Fraction|
                                                                (|Integer|))))
                                                         #2#))
                                        #4#)
                                       . #13#)))))
                             (LETT #3# (CDR #3#) . #13#) (GO G190) G191
                             (EXIT (NREVERSE #4#))))
                       . #13#)
                 (EXIT
                  (COND (|incl?| |l|)
                        (#14#
                         (SEQ
                          (LETT |ep|
                                (QCAR
                                 (PROG2
                                     (LETT #1# |i| . #13#)
                                     (QCDR #1#)
                                   (|check-union| (QEQCAR #1# 1)
                                                  (|Record|
                                                   (|:| |endpoint|
                                                        (|Fraction|
                                                         (|Integer|)))
                                                   (|:| |dir| (|Integer|)))
                                                  #1#)))
                                . #13#)
                          (EXIT
                           (SPADCALL
                            (CONS #'|DFINTTLS;findRealZero!1| (VECTOR $ |ep|))
                            |l| (QREFELT $ 108)))))))))))
        (#14# (|error| "findRealZero: should not happpen")))))))) 

(DEFUN |DFINTTLS;findRealZero!1| (|s| $$)
  (PROG (|ep| $)
    (LETT |ep| (QREFELT $$ 1) . #1=(|DFINTTLS;findRealZero|))
    (LETT $ (QREFELT $$ 0) . #1#)
    (RETURN (PROGN (|DFINTTLS;keeprec?| |ep| |s| $))))) 

(DEFUN |DFINTTLS;findRealZero!0| (|s| $$)
  (PROG (|r| $)
    (LETT |r| (QREFELT $$ 1) . #1=(|DFINTTLS;findRealZero|))
    (LETT $ (QREFELT $$ 0) . #1#)
    (RETURN
     (PROGN
      (COND
       ((|DFINTTLS;keeprec?| (QCAR |r|) |s| $)
        (|DFINTTLS;keeprec?| (QCDR |r|) |s| $))
       ('T (|spadConstant| $ 106))))))) 

(DEFUN |DFINTTLS;checkBudan| (|p| |a| |b| |incl?| $)
  (PROG (|v| |m| #1=#:G2002 |vb| |va| |zb?| |bb| #2=#:G1990 |n| #3=#:G2003
         |za?| |aa| |r|)
    (RETURN
     (SEQ (LETT |r| (SPADCALL |b| (QREFELT $ 34)) . #4=(|DFINTTLS;checkBudan|))
          (EXIT
           (COND
            ((SPADCALL (LETT |n| (SPADCALL |a| (QREFELT $ 98)) . #4#) 0
                       (QREFELT $ 99))
             (COND ((QEQCAR |r| 1) (|DFINTTLS;realRoot| |p| $))
                   (#5='T
                    (|DFINTTLS;checkHalfAx| |p| (QCDR |r|) |n| |incl?| $))))
            (#5#
             (SEQ
              (EXIT
               (SEQ
                (SEQ
                 (LETT |za?|
                       (SPADCALL
                        (SPADCALL |p|
                                  (LETT |aa| (SPADCALL |a| (QREFELT $ 100))
                                        . #4#)
                                  (QREFELT $ 115))
                        (QREFELT $ 116))
                       . #4#)
                 (EXIT
                  (COND
                   (|za?|
                    (COND
                     (|incl?|
                      (PROGN (LETT #3# (CONS 0 'T) . #4#) (GO #3#))))))))
                (EXIT
                 (COND
                  ((SPADCALL (LETT |n| (SPADCALL |b| (QREFELT $ 98)) . #4#) 0
                             (QREFELT $ 99))
                   (|DFINTTLS;checkHalfAx| |p| |aa| |n| |incl?| $))
                  (#5#
                   (SEQ
                    (EXIT
                     (SEQ
                      (SEQ
                       (LETT |zb?|
                             (SPADCALL
                              (SPADCALL |p|
                                        (LETT |bb|
                                              (PROG2
                                                  (LETT #2# |r| . #4#)
                                                  (QCDR #2#)
                                                (|check-union| (QEQCAR #2# 0)
                                                               (QREFELT $ 7)
                                                               #2#))
                                              . #4#)
                                        (QREFELT $ 115))
                              (QREFELT $ 116))
                             . #4#)
                       (EXIT
                        (COND
                         (|zb?|
                          (COND
                           (|incl?|
                            (PROGN (LETT #1# (CONS 0 'T) . #4#) (GO #1#))))))))
                      (SEQ (LETT |va| (|DFINTTLS;variation| |p| |aa| $) . #4#)
                           (EXIT
                            (COND
                             ((QEQCAR |va| 1)
                              (PROGN
                               (LETT #1# (CONS 1 #6="failed") . #4#)
                               (GO #1#)))
                             (#5#
                              (SEQ
                               (LETT |vb| (|DFINTTLS;variation| |p| |bb| $)
                                     . #4#)
                               (EXIT
                                (COND
                                 ((QEQCAR |vb| 1)
                                  (PROGN
                                   (LETT #1# (CONS 1 #6#) . #4#)
                                   (GO #1#))))))))))
                      (LETT |m| 0 . #4#)
                      (COND (|za?| (LETT |m| (+ |m| 1) . #4#)))
                      (COND (|zb?| (LETT |m| (+ |m| 1) . #4#)))
                      (EXIT
                       (COND
                        ((ODDP (LETT |v| (- (QCDR |va|) (QCDR |vb|)) . #4#))
                         (COND
                          ((OR |incl?| (SPADCALL |m| (QREFELT $ 117)))
                           (CONS 0 'T))
                          ((EQL |v| 1) (CONS 0 'NIL)) (#5# (CONS 1 "failed"))))
                        ((ZEROP |v|) (CONS 0 'NIL)) ((EQL |m| 1) (CONS 0 'T))
                        (#5# (CONS 1 "failed"))))))
                    #1# (EXIT #1#)))))))
              #3# (EXIT #3#))))))))) 

(DEFUN |DFINTTLS;checkDeriv| (|p| |a| |b| $)
  (PROG (|u| |s| |r|)
    (RETURN
     (SEQ
      (LETT |r| (SPADCALL |p| (QREFELT $ 118)) . #1=(|DFINTTLS;checkDeriv|))
      (EXIT
       (COND ((QEQCAR |r| 0) (CONS 0 (SPADCALL (QCDR |r|) (QREFELT $ 116))))
             (#2='T
              (SEQ (LETT |s| (|DFINTTLS;sameSign| |p| |a| |b| $) . #1#)
                   (EXIT
                    (COND ((QEQCAR |s| 1) (CONS 1 "failed"))
                          ((QCDR |s|)
                           (SEQ
                            (LETT |u|
                                  (|DFINTTLS;checkDeriv|
                                   (SPADCALL |p| (QREFELT $ 119)) |a| |b| $)
                                  . #1#)
                            (EXIT
                             (COND
                              ((OR (QEQCAR |u| 1) (QCDR |u|))
                               (CONS 1 "failed"))
                              ('T (CONS 0 'NIL))))))
                          (#2# (CONS 0 'T)))))))))))) 

(DEFUN |DFINTTLS;realRoot| (|p| $)
  (PROG (|b|)
    (RETURN
     (SEQ (LETT |b| (|DFINTTLS;posRoot| |p| 'T $) |DFINTTLS;realRoot|)
          (EXIT
           (COND ((QEQCAR |b| 1) (CONS 1 "failed")) ((QCDR |b|) (CONS 0 'T))
                 ('T
                  (|DFINTTLS;posRoot|
                   (SPADCALL |p|
                             (SPADCALL |p|
                                       (SPADCALL (|spadConstant| $ 9) 1
                                                 (QREFELT $ 12))
                                       (QREFELT $ 14))
                             (QREFELT $ 15))
                   'T $)))))))) 

(DEFUN |DFINTTLS;sameSign| (|p| |a| |b| $)
  (PROG (|s| |eb| |ea|)
    (RETURN
     (SEQ (LETT |ea| (|DFINTTLS;infeval| |p| |a| $) . #1=(|DFINTTLS;sameSign|))
          (EXIT
           (COND ((QEQCAR |ea| 1) (CONS 1 "failed"))
                 (#2='T
                  (SEQ (LETT |eb| (|DFINTTLS;infeval| |p| |b| $) . #1#)
                       (EXIT
                        (COND ((QEQCAR |eb| 1) (CONS 1 "failed"))
                              (#2#
                               (SEQ
                                (LETT |s|
                                      (SPADCALL
                                       (SPADCALL (QCDR |ea|) (QCDR |eb|)
                                                 (QREFELT $ 120))
                                       (QREFELT $ 63))
                                      . #1#)
                                (EXIT
                                 (COND ((QEQCAR |s| 1) (CONS 1 "failed"))
                                       (#2#
                                        (CONS 0
                                              (SPADCALL (QCDR |s|) 0
                                                        (QREFELT $
                                                                 110)))))))))))))))))) 

(DEFUN |DFINTTLS;posRoot| (|p| |incl0?| $)
  (PROG (|v| #1=#:G2044 |z0?|)
    (RETURN
     (SEQ
      (EXIT
       (SEQ
        (SEQ
         (LETT |z0?|
               (SPADCALL (SPADCALL |p| 0 (QREFELT $ 121)) (QREFELT $ 116))
               . #2=(|DFINTTLS;posRoot|))
         (EXIT
          (COND
           (|z0?|
            (COND (|incl0?| (PROGN (LETT #1# (CONS 0 'T) . #2#) (GO #1#))))))))
        (LETT |v| (|DFINTTLS;var| |p| $) . #2#)
        (EXIT
         (COND ((QEQCAR |v| 1) (CONS 1 "failed"))
               ((ODDP (QCDR |v|))
                (COND ((OR |incl0?| (NULL |z0?|)) (CONS 0 'T))
                      ((EQL (QCDR |v|) 1) (CONS 0 'NIL))
                      (#3='T (CONS 1 "failed"))))
               ((ZEROP (QCDR |v|)) (CONS 0 'NIL)) (|z0?| (CONS 0 'T))
               (#3# (CONS 1 "failed"))))))
      #1# (EXIT #1#))))) 

(DEFUN |DFINTTLS;infeval| (|p| |a| $)
  (PROG (|u| |n|)
    (RETURN
     (SEQ
      (COND
       ((QSZEROP
         (LETT |n| (SPADCALL |a| (QREFELT $ 98)) . #1=(|DFINTTLS;infeval|)))
        (CONS 0 (SPADCALL |p| (SPADCALL |a| (QREFELT $ 100)) (QREFELT $ 115))))
       (#2='T
        (SEQ (LETT |u| (SPADCALL |p| |n| (ELT $ 63) (QREFELT $ 124)) . #1#)
             (EXIT
              (COND ((QEQCAR |u| 1) (CONS 1 "failed"))
                    (#2# (CONS 0 (SPADCALL (QCDR |u|) (QREFELT $ 58))))))))))))) 

(DEFUN |DFINTTLS;var| (|q| $)
  (PROG (|lastCoef| |i| #1=#:G2067 |next|)
    (RETURN
     (SEQ
      (EXIT
       (SEQ (LETT |i| 0 . #2=(|DFINTTLS;var|))
            (LETT |lastCoef|
                  (|DFINTTLS;negative| (SPADCALL |q| (QREFELT $ 82)) $) . #2#)
            (EXIT
             (COND ((QEQCAR |lastCoef| 1) (CONS 1 "failed"))
                   ('T
                    (SEQ
                     (SEQ G190
                          (COND
                           ((NULL
                             (SPADCALL
                              (LETT |q| (SPADCALL |q| (QREFELT $ 88)) . #2#)
                              (|spadConstant| $ 80) (QREFELT $ 81)))
                            (GO G191)))
                          (SEQ
                           (LETT |next|
                                 (|DFINTTLS;negative|
                                  (SPADCALL |q| (QREFELT $ 82)) $)
                                 . #2#)
                           (EXIT
                            (COND
                             ((QEQCAR |next| 1)
                              (PROGN
                               (LETT #1# (CONS 1 "failed") . #2#)
                               (GO #1#)))
                             ('T
                              (SEQ
                               (COND
                                ((QCDR |lastCoef|)
                                 (COND
                                  ((NULL (QCDR |next|))
                                   (COND
                                    ((QCDR |lastCoef|)
                                     (LETT |i| (+ |i| 1) . #2#))))))
                                ((OR (QCDR |next|) (QCDR |lastCoef|))
                                 (LETT |i| (+ |i| 1) . #2#)))
                               (EXIT (LETT |lastCoef| |next| . #2#)))))))
                          NIL (GO G190) G191 (EXIT NIL))
                     (EXIT (CONS 0 |i|))))))))
      #1# (EXIT #1#))))) 

(DEFUN |DefiniteIntegrationTools| (&REST #1=#:G2068)
  (PROG ()
    (RETURN
     (PROG (#2=#:G2069)
       (RETURN
        (COND
         ((LETT #2#
                (|lassocShiftWithFunction| (|devaluateList| #1#)
                                           (HGET |$ConstructorCache|
                                                 '|DefiniteIntegrationTools|)
                                           '|domainEqualList|)
                . #3=(|DefiniteIntegrationTools|))
          (|CDRwithIncrement| #2#))
         ('T
          (UNWIND-PROTECT
              (PROG1 (APPLY (|function| |DefiniteIntegrationTools;|) #1#)
                (LETT #2# T . #3#))
            (COND
             ((NOT #2#)
              (HREM |$ConstructorCache| '|DefiniteIntegrationTools|))))))))))) 

(DEFUN |DefiniteIntegrationTools;| (|#1| |#2|)
  (PROG (|pv$| $ |dv$| DV$2 DV$1)
    (RETURN
     (PROGN
      (LETT DV$1 (|devaluate| |#1|) . #1=(|DefiniteIntegrationTools|))
      (LETT DV$2 (|devaluate| |#2|) . #1#)
      (LETT |dv$| (LIST '|DefiniteIntegrationTools| DV$1 DV$2) . #1#)
      (LETT $ (GETREFV 125) . #1#)
      (QSETREFV $ 0 |dv$|)
      (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#))
      (|haddProp| |$ConstructorCache| '|DefiniteIntegrationTools|
                  (LIST DV$1 DV$2) (CONS 1 $))
      (|stuffDomainSlots| $)
      (QSETREFV $ 6 |#1|)
      (QSETREFV $ 7 |#2|)
      (SETF |pv$| (QREFELT $ 3))
      $)))) 

(MAKEPROP '|DefiniteIntegrationTools| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (0 . |One|)
              (4 . |One|) (|NonNegativeInteger|)
              (|SparseUnivariatePolynomial| 7) (8 . |monomial|) (14 . |coerce|)
              (19 . -) (25 . |elt|) (|Boolean|) (|Fraction| 20) (31 . >)
              (37 . <) (|Integer|) (43 . *) (|String|) |DFINTTLS;ignore?;SB;4|
              (|Symbol|) (49 . |is?|) (|OrderedCompletion| 7)
              (55 . |infinite?|) (60 . =) (66 . -) (|Union| 26 '"failed")
              (|Kernel| 7) |DFINTTLS;computeInt;KF2OcBU;5|
              (|Union| 7 '"failed") (72 . |retractIfCan|) (|Kernel| $)
              (77 . |eval|) (84 . |coerce|) (89 . |coerce|) (|Equation| 7)
              (94 . |equation|) (|PowerSeriesLimitPackage| 6 7) (100 . |limit|)
              (|Equation| 26) (107 . |equation|)
              (|Record| (|:| |leftHandLimit| 30) (|:| |rightHandLimit| 30))
              (|Union| 26 45 '"failed") (113 . |limit|) (|List| 35)
              (119 . |kernels|) (124 . |is?|) (|List| $) (130 . |eval|)
              (|List| 7) (137 . |argument|) (|PositiveInteger|) (142 . ^)
              (148 . |log|) (153 . |coerce|) (158 . /) (164 . -)
              (|Union| 20 '"failed") (|ElementaryFunctionSign| 6 7)
              (169 . |sign|) (174 . |Zero|) (178 . |Zero|) (|Polynomial| 6)
              (182 . |coerce|) (|SparseUnivariatePolynomial| $)
              (187 . |univariate|) (|Mapping| 7 66)
              (|SparseUnivariatePolynomial| 66)
              (|SparseUnivariatePolynomialFunctions2| 66 7) (193 . |map|)
              (|Union| 16 '"failed") |DFINTTLS;checkForZero;Sup2OcBU;11|
              |DFINTTLS;checkForZero;PS2OcBU;10| (199 . |ground?|)
              (|SparseUnivariatePolynomial| 17) (204 . |Zero|) (208 . |Zero|)
              (212 . ~=) (218 . |leadingCoefficient|) (|Union| 17 '"failed")
              (223 . |retractIfCan|) (228 . |degree|) (233 . |monomial|)
              (239 . +) (245 . |reductum|) (250 . |numer|)
              (|Record| (|:| |num| 78) (|:| |den| 20))
              (|UnivariatePolynomialCommonDenominator| 20 17 78)
              (255 . |splitDenominator|) (|SparseUnivariatePolynomial| 20)
              (|Mapping| 20 17) (|SparseUnivariatePolynomialFunctions2| 17 20)
              (260 . |map|) (|SingleInteger|) (266 . |whatInfinity|) (271 . ~=)
              (277 . |retract|) (282 . |squareFreePart|)
              (|Record| (|:| |left| 17) (|:| |right| 17)) (|List| 102)
              (|RealZeroPackage| 93) (287 . |realZeros|) (293 . |false|)
              (|Mapping| 16 102) (297 . |select!|) (303 . |realZeros|)
              (308 . >) (314 . |max|) (320 . |min|) (|Union| 102 '"failed")
              (326 . |refine|) (333 . |elt|) (339 . |zero?|) (344 . |even?|)
              (349 . |retractIfCan|) (354 . |differentiate|) (359 . *)
              (365 . |coefficient|) (|Mapping| 61 7) (|InnerPolySign| 7 11)
              (371 . |signAround|))
           '#(|ignore?| 378 |computeInt| 383 |checkForZero| 392) 'NIL
           (CONS (|makeByteWordVec2| 1 'NIL)
                 (CONS '#()
                       (CONS '#()
                             (|makeByteWordVec2| 124
                                                 '(0 6 0 8 0 7 0 9 2 11 0 7 10
                                                   12 1 11 0 7 13 2 11 0 0 0 14
                                                   2 11 0 0 0 15 2 17 16 0 0 18
                                                   2 17 16 0 0 19 2 11 0 20 0
                                                   21 2 7 16 0 24 25 1 26 16 0
                                                   27 2 26 16 0 0 28 2 26 0 0 0
                                                   29 1 26 33 0 34 3 7 0 0 35 0
                                                   36 1 26 0 7 37 1 7 0 35 38 2
                                                   39 0 7 7 40 3 41 30 7 39 22
                                                   42 2 43 0 26 26 44 2 41 46 7
                                                   43 47 1 7 48 0 49 2 31 16 0
                                                   24 50 3 7 0 0 48 51 52 1 31
                                                   53 0 54 2 7 0 0 55 56 1 7 0
                                                   0 57 1 7 0 20 58 2 7 0 0 0
                                                   59 1 7 0 0 60 1 62 61 7 63 0
                                                   6 0 64 0 7 0 65 1 7 0 66 67
                                                   2 66 68 0 24 69 2 72 11 70
                                                   71 73 1 11 16 0 77 0 78 0 79
                                                   0 11 0 80 2 11 16 0 0 81 1
                                                   11 7 0 82 1 7 83 0 84 1 11
                                                   10 0 85 2 78 0 17 10 86 2 78
                                                   0 0 0 87 1 11 0 0 88 1 17 20
                                                   0 89 1 91 90 78 92 2 95 93
                                                   94 78 96 1 26 97 0 98 2 97
                                                   16 0 0 99 1 26 7 0 100 1 93
                                                   0 0 101 2 104 103 93 102 105
                                                   0 16 0 106 2 103 0 107 0 108
                                                   1 104 103 93 109 2 20 16 0 0
                                                   110 2 17 0 0 0 111 2 17 0 0
                                                   0 112 3 104 113 93 102 102
                                                   114 2 11 7 0 7 115 1 7 16 0
                                                   116 1 20 16 0 117 1 11 33 0
                                                   118 1 11 0 0 119 2 7 0 0 0
                                                   120 2 11 7 0 10 121 3 123 61
                                                   11 20 122 124 1 0 16 22 23 5
                                                   0 30 31 7 26 26 16 32 4 0 74
                                                   11 26 26 16 75 5 0 74 66 24
                                                   26 26 16 76)))))
           '|lookupComplete|)) 
